Melnikov Method for a Class of Generalized Ziegler Pendulums

The Melnikov method is applied to a class of generalized Ziegler pendulums. We find an analytical form for the separatrix of the system in terms of Jacobian elliptic integrals, holding for a large class of initial conditions and parameters. By working in Duffing approximation, we apply the Melnikov...

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Bibliographic Details
Main Authors: Stefano Disca, Vincenzo Coscia
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/8/1267
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